Question

In the figure shown given $PQ||BC$. The length of $AC$ is

• A. $24$
• B. $27$
• C. $31$
• D. $9$

Answer 1

The correct option is B $27$

Given, $PQ\parallel BC$
Thus, by proportionality theorem, we have
$\frac{AP}{PB}=\frac{AQ}{QC}$
$\Rightarrow \frac{6}{12}=\frac{9}{QC}$
$\Rightarrow QC=18$
Thus, $AC=AQ+QC=9+18=27$ cm